JEE Main 2025 (Online) 7th April Morning Shift — Question Paper

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Physics

• In the following circuit, the reading of the ammeter will be ( Take Zener breakdown…
• Uniform magnetic fields of different strengths (B₁ and B₂), both normal to the plane of…
• Two thin convex lenses of focal lengths 30 cm and 10 cm are placed coaxially, 10 cm…
• An ideal gas has undergone through the cyclic process as shown in the figure. Work done…
• A container contains a liquid with refractive index of 1.2 up to a height of 60 cm and…
• Match the List I with List II List - I | List - II; (A) | Triatomic rigid gas | (I) |…
• A, B and C are disc, solid sphere and spherical shell respectively with same radii and…
• An ac current is represented as i=5 √2+10 cos (650 π t+π/6) A m p The r.m.s value of the…
• Two projectiles are fired from ground with same initial speeds from same point at angles…
• A particle of charge q, mass m and kinetic energy E enters in magnetic field…
• For a hydrogen atom, the ratio of the largest wavelength of Lyman series to that of the…
• Two plane polarized light waves combine at a certain point whose electric field…
• For ac circuit shown in figure, R=100 k Ω and C=100 pF and the phase difference between…
• An object of mass 1000 g experiences a time dependent force F⃗=(2 t î+3 t² ĵ) N. The…
• In a hydrogen like ion, the energy difference between the 2ⁿᵈ excitation energy state…
• Two harmonic waves moving in the same direction superimpose to form a wave x=a cos (1.5…
• A lens having refractive index 1.6 has focal length of 12 cm , when it is in air. Find…
• A wire of length 10 cm and diameter 0.5 mm is used in a bulb. The temperature of the…
• Two charges q₁ and q₂ are separated by a distance of 30 cm . A third charge q₃ initially…
• The percentage increase in magnetic field (B) when space within a current carrying…
• If ε₀ denotes the permittivity of free space and Φ_E is the flux of the electric field…
• Two wires A and B are made of same material having ratio of lengths L_A/L_B=1/3 and…
• A rod of length 5 L is bent right angle keeping one side length as 2 L . The position of…
• A wire of resistance R is bent into a triangular pyramid as shown in figure with each…
• A cubic block of mass m is sliding down on an inclined plane at 60° with an acceleration…

Chemistry

• A person's wound was exposed to some bacteria and then bacterial growth started to…
• Given below are two statements: Statement I : Ozonolysis followed by treatment with Zn…
• An organic compound weighing 500 mg , produced 220 mg of CO₂, on complete combustion…
• An octahedral complex having molecular composition Co · 5 NH₃ · Cl² . SO₄ has two…
• At the sea level, the dry air mass percentage composition is given as nitrogen gas: 70.0…
• Which of the following statements are correct, if the threshold frequency of caesium is…
• Which of the following is the correct IUPAC name of given organic compound (X)?
• Reaction A(g) → 2 B( g)+C(g) is a first order reaction. It was started with pure A t/min…
• The first transition series metal ' M ' has the highest enthalpy of atomisation in its…
• An aqueous solution of HCl with pH 1.0 is diluted by adding equal volume of water…
• The number of paramagnetic complexes among [FeF₆]³⁻,[Fe(CN)₆]³⁻,[Mn(CN)₆]³⁻, [Co(C₂…
• 1 Faraday electricity was passed through Cu²⁺(1.5 M, 1 L) / Cu and 0.1 Faraday was…
• The number of valence electrons present in the metal among Cr, Co, Fe and Ni which has…
• The percentage dissociation of a salt (MX₃) solution at given temperature (van't Hoff…
• Given below are two statements : Statement I : Mohr's salt is composed of only three…
• Which of the following compounds is least likely to give effervescence of CO₂ in…
• The reactions which cannot be applied to prepare an alkene by elimination, are Choose…
• Thyroxine, the hormone has given below structure The percentage of iodine in thyroxine…
• Which of the following amine (s) show (s) positive carbylamine test? B. (CH₃)₂NH C…
• When a salt is treated with sodium hydroxide solution it gives gas X . On passing gas X…
• Given below are two statements: Statement I: D-(+)-glucose + D-(+) fructose →(-H₂ O)…
• The group 14 elements A and B have the first ionisation enthalpy values of 708 and 715…
• Total enthalpy change for freezing of 1 mol of water at 10° C to ice at -10° C is…
• Given below are two statements : Statement I : Dimethyl ether is completely soluble in…

Mathematics

• Let C₁ be the circle in the third quadrant of radius 3 , that touches both coordinate…
• The number of points of discontinuity of the function f(x)=[x²/2]-[√x], x ∈[0,4], where…
• The number of singular matrices of order 2 , whose elements are from the set {2,3,6,9}…
• Let the system of equations : 2 x+3 y+5 z=9 ; 7 x+3 y-2 z=8 ; 12 x+3 y-(4+λ) z=16-μ have…
• Let x₁, x₂, x₃, x₄ be in a geometric progression. If 2,7,9,5 are subtracted respectively…
• Let the angle θ, 0<θ<π/2 between two unit vectors a and b be sin ⁻¹(√65/9). If the…
• Let A be a 3 × 3 matrix such that |adj(adj(adj A))|=81. If S={n ∈ ℤ:(|adj(adj…
• The integral ∫₀^π ((x+3) sin x)/(1+3 cos ² x) d x is equal to
• The mean and standard deviation of 100 observations are 40 and 5.1 , respectively. By…
• The number of relations on the set A={1,2,3}, containing at most 6 elements including…
• Among the statements (S1) : The set {z ∈ ℂ-{-i}:|z|=1 and (z-i)/(z+i) is purely real }…
• Let the line L pass through (1,1,1) and intersect the lines (x-1)/2=(y+1)/3=(z-1)/4 and…
• Let y=y(x) be the solution curve of the differential equation x(x²+eˣ) d y+(eˣ(x-2)…
• If the area of the region bounded by the curves y=4-x²/4 and y=(x-4)/2 is equal to α…
• Let x=-1 and x=2 be the critical points of the function f(x)=x³+a x²+b log ₑ|x|+1, x ≠…
• Let P be the parabola, whose focus is (-2,1) and directrix is 2 x+y+2=0. Then the sum of…
• If for θ∈ [-π/3,0], the points (x,y)=(3 tan (θ+π/3),2 tan (θ+π/6)) lie on xy+α x+β…
• The remainder when ((64)⁽⁶⁴⁾)⁽⁶⁴⁾ is divided by 7 is equal to
• If the shortest distance between the lines (x-1)/2=(y-2)/3=(z-3)/4 and x/1=y/α=(z-5)/1…
• Let ABC be the triangle such that the equations of lines AB and AC be 3y-x=2 and x+y=2…
• Let the set of all values of p ∈ ℝ, for which both the roots of the equation x²-(p+2)…
• Consider the hyperbola x²/a²-y²/b²=1 having one of its focus at P(-3,0). If the latus…
• From a group of 7 batsmen and 6 bowlers, 10 players are to be chosen for a team, which…
• For n ≥ 2, let Sₙ denote the set of all subsets of {1,2, …, n} with no two consecutive…
• lim x → 0⁺ (tan (5(x)^(1/3)) log ₑ(1+3 x²))/(tan ⁻¹ 3 √x)²(e^(5(x)^(4/3))-1) is equal to

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